Loosely speaking, FAM has two halves, FAM-S and FAM-L, which are watered down versions of STAM and LTAM respectively. If you have already taken LTAM, then you only need to take FAM-S, which is STAM plus some material on options but minus Bayesian credibility, Buhlmann credibility, variances of MLEs, and a handful of rarely tested topics (e.g., no (a, b, 1) distributions, frailty models).

If you haven't taken LTAM, then you will need to take all of FAM, which will include many but not all of the former LTAM topics. If you are in this situation, then after you pass FAM you will also have to take either ALTAM or ASTAM, the A standing for advanced, and roughly speaking those cover the harder topics from either LTAM or STAM (your choice) and in written form rather than purely multiple choice.